3.2 Graphing Lines and Inequalities QUICK CHECK

Front

What does the inequality symbol 'y <' indicate about shading on a graph?

Back

Shade below the line.

Front

What does the inequality symbol 'y ≤' indicate about shading on a graph?

Back

Shade below the line, including the line itself.

Front

How can you determine if a point is a solution to a linear inequality?

Back

Substitute the point's coordinates into the inequality and check if the statement is true.

Front

What does it mean if a line is dashed in a graph of an inequality?

Back

The points on the dashed line are not included in the solution set.

Front

What does it mean if a line is solid in a graph of an inequality?

Back

The points on the solid line are included in the solution set.

Front

In the equation y = 4x + 3, what does the number 4 represent?

Back

The slope of the line.

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

How do you graph a linear inequality?

Back

First graph the corresponding linear equation, then shade the appropriate region based on the inequality.

Front

What is the difference between 'y < mx + b' and 'y ≤ mx + b'?

Back

'y < mx + b' uses a dashed line and does not include the line, while 'y ≤ mx + b' uses a solid line and includes the line.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis.